Use our free GCF of Fractions Calculator tool to compute the GCF of 8387/136, 6843/4969 i.e 1/675784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8387/136, 6843/4969.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8387/136,6843/4969
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8387/136,6843/4969, numerators are 8387,6843
Denominators are 136,4969
The GCF of 8387,6843 is 1 .
LCM of 136,4969 is 675784.
The greatest common factor of 8387/136,6843/4969 = [GCF of 8387,6843]/[LCM of 136,4969]= 1/675784
Therefore, the GCF of 8387/136,6843/4969 is 1/675784.
To find the highest common factor of 8387,6843, we have to find the factors of both numbers and list the highest common factor.
The factors of 8387 are 1, 8387
The factors of 6843 are 1, 3, 2281, 6843
The HCF of 8387,6843 is 1.
Lets's calculate GCF of 8387,6843
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8387
:1,8387
Now, list down the factors of 6843
:1,3,2281,6843
Greatest Common Factor
We found the factors 8387,6843 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,6843 is 1.
Lets's calculate LCM of 136,4969
Given numbers has no common factors except 1. So, there LCM is their product i.e 675784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/675784
Therefore, the GCF of Fractions 8387/136,6843/4969 is 1/675784
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 136,4969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,4969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(136,4969) x common factors =1 x 1 = 1
LCM(136,4969) = ( 136 × 4969 ) / 1
LCM(136,4969) = 675784 / 1
LCM(136,4969) = 675784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8387,6843?
The HCF of 8387,6843 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8387/136, 6843/4969?
Answer: GCF of Numerators as per given numbers 8387/136, 6843/4969 is
GCF of Numerators i.e. for 8387,6843 is 1
LCM of denominators i.e. for 136,4969 is 675784.
Thus, GCF of Fractions is 1/675784.Finally, GCF of Fractions for 8387/136, 6843/4969 is 1/675784.